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» Forbidden subgraphs and the existence of a 2-factor
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JGT
2010
83views more  JGT 2010»
13 years 2 months ago
Forbidden subgraphs and the existence of a 2-factor
In 1996, Ota and Tokuda showed that a star-free graph with sufficiently high minimum degree admits a 2-factor. More recently it was shown that the minimum degree condition can be ...
Robert E. L. Aldred, Jun Fujisawa, Akira Saito
DM
2008
95views more  DM 2008»
13 years 4 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...
DAM
2008
90views more  DAM 2008»
13 years 4 months ago
Polarity of chordal graphs
Polar graphs are a common generalization of bipartite, cobipartite, and split graphs. They are defined by the existence of a certain partition of vertices, which is NPcomplete to ...
Tinaz Ekim, Pavol Hell, Juraj Stacho, Dominique de...
ALGORITHMICA
2006
100views more  ALGORITHMICA 2006»
13 years 4 months ago
Error Compensation in Leaf Power Problems
The k-Leaf Power recognition problem is a particular case of graph power problems: For a given graph it asks whether there exists an unrooted tree--the k-leaf root--with leaves on...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
DAM
2008
123views more  DAM 2008»
13 years 4 months ago
Polar cographs
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...